Atkin-Lehner |
2- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81400r |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-203500000000 = -1 · 28 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,700,20500] |
[a1,a2,a3,a4,a6] |
j |
9483264/50875 |
j-invariant |
L |
2.8914792806134 |
L(r)(E,1)/r! |
Ω |
0.72286982385775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16280f1 |
Quadratic twists by: 5 |